{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Example / Zoomable Mandelbrot set\n",
    "\n",
    "Mandelbrot code inspired from [NumPy: Compute Mandelbrot set by Vectorization](https://www.learnpythonwithrune.org/numpy-compute-mandelbrot-set-by-vectorization/), \n",
    "by @PythonWithRune"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# imports\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# A mandelbrot plot : function definition\n",
    "def mandelbrot(height, width, x=-0.5, y=0, zoom=1, max_iterations=100):\n",
    "    # To make navigation easier we calculate these values\n",
    "    x_width = 1.5\n",
    "    y_height = 1.5 * height / width\n",
    "    x_from = x - x_width / zoom\n",
    "    x_to = x + x_width / zoom\n",
    "    y_from = y - y_height / zoom\n",
    "    y_to = y + y_height / zoom\n",
    "    # Here the actual algorithm starts\n",
    "    x = np.linspace(x_from, x_to, width).reshape((1, width))\n",
    "    y = np.linspace(y_from, y_to, height).reshape((height, 1))\n",
    "    c = x + 1j * y\n",
    "    # Initialize z to all zero\n",
    "    z = np.zeros(c.shape, dtype=np.complex128)\n",
    "    # To keep track in which iteration the point diverged\n",
    "    div_time = np.zeros(z.shape, dtype=int)\n",
    "    # To keep track on which points did not converge so far\n",
    "    m = np.full(c.shape, True, dtype=bool)\n",
    "    for i in range(max_iterations):\n",
    "        z[m] = z[m] ** 2 + c[m]\n",
    "        diverged = np.greater(np.abs(z), 2, out=np.full(c.shape, False), where=m)  # Find diverging\n",
    "        div_time[diverged] = i  # set the value of the diverged iteration number\n",
    "        # m[np.abs(z) > 2] = False    # to remember which have diverged\n",
    "        m[diverged] = False\n",
    "    return div_time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Show mandel in a matplotlib plot\n",
    "plt.imshow(mandelbrot(800, 1000), cmap=\"magma\")\n",
    "# The image below of Mandelbrot set\n",
    "# plt.imshow(mandelbrot(800, 1000, -0.75, 0.0, 2, 200), cmap='magma')\n",
    "# The image below of below of Mandelbrot set\n",
    "# plt.imshow(mandelbrot(800, 1000, -1, 0.3, 20, 500), cmap='magma')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pythonContextPointer differs from ImGui::GetCurrentContext()! The graphical app was perhaps restarted...\n",
      "Python GenTexture()\n",
      "Python DeleteTexture()\n"
     ]
    }
   ],
   "source": [
    "# show that we can re invoke immvision after exception in the user code!\n",
    "import imgui\n",
    "import immvision.imgui_runner\n",
    "import immvision\n",
    "\n",
    "ax = plt.imshow(mandelbrot(800, 1000), cmap=\"magma\")\n",
    "\n",
    "create_exception = False\n",
    "\n",
    "\n",
    "def broken_gui():\n",
    "    global create_exception\n",
    "    immvision.figure_display(\"figure\", ax.figure)\n",
    "    _, create_exception = imgui.checkbox(\"Check this to create an exception!\", create_exception)\n",
    "    if create_exception:\n",
    "        imgui.image(1, 2, 3, 4)\n",
    "    if imgui.button(\"Exit\"):\n",
    "        immvision.imgui_runner.exit_app()\n",
    "\n",
    "\n",
    "immvision.imgui_runner.run(broken_gui)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pythonContextPointer differs from ImGui::GetCurrentContext()! The graphical app was perhaps restarted...\n",
      "Python GenTexture()\n",
      "Python DeleteTexture()\n"
     ]
    }
   ],
   "source": [
    "# Show mandel in a immvision\n",
    "import imgui\n",
    "import immvision.imgui_runner\n",
    "import immvision\n",
    "\n",
    "ax = plt.imshow(mandelbrot(800, 1000), cmap=\"magma\")\n",
    "immvision.imgui_runner.run(lambda: immvision.figure_display(\"figure\", ax.figure))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# a totally different plot\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import patheffects\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(6, 6))\n",
    "\n",
    "nx = 101\n",
    "ny = 105\n",
    "\n",
    "# Set up survey vectors\n",
    "xvec = np.linspace(0.001, 4.0, nx)\n",
    "yvec = np.linspace(0.001, 4.0, ny)\n",
    "\n",
    "# Set up survey matrices.  Design disk loading and gear ratio.\n",
    "x1, x2 = np.meshgrid(xvec, yvec)\n",
    "\n",
    "# Evaluate some stuff to plot\n",
    "obj = x1**2 + x2**2 - 2 * x1 - 2 * x2 + 2\n",
    "g1 = -(3 * x1 + x2 - 5.5)\n",
    "g2 = -(x1 + 2 * x2 - 4.5)\n",
    "g3 = 0.8 + x1**-3 - x2\n",
    "\n",
    "cntr = ax.contour(x1, x2, obj, [0.01, 0.1, 0.5, 1, 2, 4, 8, 16], colors=\"black\")\n",
    "ax.clabel(cntr, fmt=\"%2.1f\", use_clabeltext=True)\n",
    "\n",
    "cg1 = ax.contour(x1, x2, g1, [0], colors=\"sandybrown\")\n",
    "plt.setp(cg1.collections, path_effects=[patheffects.withTickedStroke(angle=135)])\n",
    "\n",
    "cg2 = ax.contour(x1, x2, g2, [0], colors=\"orangered\")\n",
    "plt.setp(cg2.collections, path_effects=[patheffects.withTickedStroke(angle=60, length=2)])\n",
    "\n",
    "cg3 = ax.contour(x1, x2, g3, [0], colors=\"mediumblue\")\n",
    "plt.setp(cg3.collections, path_effects=[patheffects.withTickedStroke(spacing=7)])\n",
    "\n",
    "ax.set_xlim(0, 4)\n",
    "ax.set_ylim(0, 4)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pythonContextPointer differs from ImGui::GetCurrentContext()! The graphical app was perhaps restarted...\n",
      "Python GenTexture()\n",
      "Python DeleteTexture()\n"
     ]
    }
   ],
   "source": [
    "# which we show in immvision\n",
    "import imgui\n",
    "import immvision.imgui_runner\n",
    "\n",
    "\n",
    "def gui():\n",
    "    immvision.figure_display(\"a totally different plot\", fig)\n",
    "\n",
    "\n",
    "immvision.imgui_runner.run(gui)"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "07580d44e519ada64faf1c79f750a40c45d7960b3526f627e875efade47c9e1b"
  },
  "kernelspec": {
   "display_name": "Python 3.9.12 ('venv': venv)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
